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Iterative Algorithms for Nonexpansive Mappings

Fixed Point Theory and Applications volume 2008, Article number: 384629 (2007) Cite this article

Abstract

We suggest and analyze two new iterative algorithms for a nonexpansive mapping T in Banach spaces. We prove that the proposed iterative algorithms converge strongly to some fixed point of T.

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Authors and Affiliations

  1. Department of Information Management, Cheng Shiu University, Kaohsiung, 833, Taiwan

    Yeong-Cheng Liou

  2. Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300160, China

    Yonghong Yao

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  1. Yeong-Cheng Liou
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  2. Yonghong Yao
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Correspondence to Yeong-Cheng Liou.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Liou, YC., Yao, Y. Iterative Algorithms for Nonexpansive Mappings. Fixed Point Theory Appl 2008, 384629 (2007). https://doi.org/10.1155/2008/384629

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  • DOI: https://doi.org/10.1155/2008/384629

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